Cubic Transformations

Name the parent function.

• linear
• quadratic
• cube root
• cubic

Tags

CCSS.HSF-IF.C.7B

What are the shifts of the graph

 $f\left(x\right)=\left(x-2\right)^3-8$  from the parent graph of  $f\left(x\right)=x^3$  ?

• Left 2 and Up 8

• Right 2 and Up 8

• Left 2 and Down 8

• Right 2 and Down 8

Tags

CCSS.HSF.BF.B.3

What are the shifts of the graph

 $f\left(x\right)=\left(x+5\right)^3-11$  from the parent graph of  $f\left(x\right)=x^3$  ?

• Left 5 and Up 11

• Right 5 and Up 11

• Left 5 and Down 11

• Right 5 and Down 11

Tags

CCSS.HSF.BF.B.3

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

• vertical shrink by a factor of 1/4,translation down 2 units
• vertical shrink by a factor of 1/4,translation right 2 units
• vertical stretch by a factor of 1/4,translation down 2 units
• vertical stretch by a factor of 1/4,translation right 2 units

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  y = -2(x + 5)³ 

• Shrink by 2, Reflected over y-axis, Right 5
• Stretch by 2, Reflected over x-axis, Left 5
• Stretch by 2, Reflected over x-axis, Right 5
• Shrink by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• 3 units right, 2 units up, reflected across the y-axis
• 3 units right, 2 units up, reflected across the x-axis
• 3 units left, 2 units up, reflected across the y-axis
• 3 units left, 2 units up, reflected across the x-axis

Tags

CCSS.HSF.BF.B.3

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1
• reflect over x, horizontal compression by 2, left 5, up 1
• reflect over x, vertical stretch by 2, right 5, up 1
• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3